伪t-模与L-关系方程  

Pseudo-t-norms and L-relation Equations

作　　者：廖大见[1] 

机构地区：[1]淮海工学院东港学院基础部,江苏连云港222069

出　　处：《淮海工学院学报（自然科学版）》2003年第3期5-8,共4页Journal of Huaihai Institute of Technology:Natural Sciences Edition

摘　　要：介绍了完备Brouwer格上的伪t-模与蕴涵算子的概念和一些重要结论。利用方程T(a,x)=b与方程I(a,x)=b解的相关结论讨论了sup-T类L-关系方程A(R)(y)=B(y)与inf-I类L-关系方程A<(R)(y)=B(y)解的结构,并在一定条件下分别得到了它们的解集。文中L为完备Brouwer格,T为无穷V-分配伪t-模,I是无穷∧-分配蕴涵算子,I=I(T),a,b,x∈L,A∈L^X和B∈L^Y是两个已知L-子集,R∈L^(X×Y)是未知L-关系。The notion of pseudo-t-norms and implications on a complete Brouwerian lattice L and some conclusions are introduced in this paper. Using the corresponding conclusions about solutions of equation T(a,x}=b and I(a, x) =b,this paper studies the structure of solutions of sup-T type L-relation A(R) (y) =B(y) and inf-I type L-relation A (R)(.y) =B(y) ,and finally it gets the set for all of their solutions under certain conditions. Where I= I(T) ,a ,b,x L,A Lx and B LY are two known L-subsets, and R LXxY is the unknown L-relation.

关 键 词：伪T-模 L-关系方程 完备BROUWER格 蕴涵算子 

分 类 号：O153.1[理学—数学]